Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse
Answer:
1.) 
2.) 
3.) 
4.) 
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:

However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each
- When you move up, the number will be positive
. If you move down, the number will be negative
. - If you move to the right, the number will be positive
. If you move to the left, the number will be negative
.
Triangle, not a triangle, not a triangle, triangle
Determining if three side lengths can make a triangle is easier than it looks. All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.[
Hi, I believe the answer is Donna makes 0.2 revolutions per foot of distance traveled and the slope of the graph is 1/5.
To find the number of revolutions per minute you find a point on the graph where the <em>x</em> line and the <em>y</em> line match up, such as (2, 10) then you divide the amount of revolutions in ten feet by ten to find the amount in just one foot, 0.2.
To find the slope of the graph you pick two points on it such as (2, 10) and (4, 20) and subtract the first y coordinate from the second (4 - 2) and do the same with the x coordinates (20 - 10). Then you divide the difference in the y coordinates by the difference in the x coordinates to get the 2/10, then simplify to get 1/5.
Hope this is helpful and not too drawn out :)